When one door closes another opens.

一扇门关上，另一扇门打开了。

youdao

Unexpected results have two benefits: you pretty quickly learn to deal with disappointment, and realize that when one door closes, another opens.

意想不到的结果有两大好处：你可以很快学会处理失望情绪，并认识到当一扇门关闭时，另一扇门会为你敞开。

youdao

When the door of happiness closes, another opens, but often times we look so long at the closed door that we don’t see the one which has been opened for us.

当幸福的一扇门关闭时，另一扇门便会敞开，但是因为我们通常都凝视着那扇紧闭的门太久了，却没注意到另一扇门已经为我们 敞开。

youdao

There is an old adage that when one door closes, another opens.

FORBES: The Times, They Are a-Taxin'

As they say, when one door closes another door opens.

FORBES: Bouncing Back After A Lay-Off